A spectral method for action-angle representation of linear waves in plasmas

Journal Article · Tue Nov 10 00:00:00 EST 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3266809· OSTI ID:21335671

Hirota, M ^[1]

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1. Japan Atomic Energy Agency 801-1, Muko-yama, Naka, Ibaraki, 311-0193 (Japan)

Hamiltonian aspects of linear waves in plasmas are generally reviewed and discussed. Action-angle representation of linear waves is a fundamental problem, but it requires a careful mathematical consideration in the presence of continuum mode (continuous spectrum). We introduce a novel spectral technique that can treat continuous spectrum as well as discrete spectrum in a unified manner. Our method facilitates the derivation of action-angle variables, which is demonstrated for the Van Kampen mode in electrostatic plasma.

• OSTI ID: 21335671
• Journal Information: AIP Conference Proceedings, Vol. 1188, Issue 1; Conference: 2009 ICTP summer college on plasma physics; International symposium on cutting edge plasma physics, Trieste (Italy), 10-28 Aug 2009; Other Information: DOI: 10.1063/1.3266809; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
ELECTROSTATICS
FLUCTUATIONS
HAMILTONIANS
MAGNETOHYDRODYNAMICS
PLASMA
PLASMA WAVES
VORTICES